Some exposition

• Symbolic Dyamics and the stable algebra of matrices
  with Scott Schmieding
  (The link includes lecture notes for our minicourse at the 2019 G2D2 Conference and Summer School in Yichang, China.
  
  
• Notes on the Perron-Frobenius theory of nonnegative matrices
  (My old expository notes, slighty augmented in 2019)
  
  

Preprints:

• Decidability of flow equivalence and isomorphism problems for graph C*-algebras and quiver representations, 11 pages,
  with Benjamin Steinberg
  
  
• The work of Mike Hochman on multidimensional symbolic dynamics and Borel dynamics, 8 pages
  
  
• Flow equivalence of G-SFTs , 81 pages,
  with Toke Carlsen and Soren Eilers,
  Transactions AMS to appear.
  
  

Some former preprints:

• Strong shift equivalence and algebraic K-theory , 49 pages,
  with Scott Schmieding
  (Crelle's Journal 2019)
  
  
• The mapping class group of a shift of finite type, 28 pages,
  with Sompong Chuysurichay
  (J. Modern Dynamics 2018)
  
  
• Flow equivalence of sofic shifts , 30 pages,
  with Toke Carlsen and Soren Eilers
  (Israel J. Math. 2018)
  
  
• Finite group extensions of shifts of finite type: K-theory, Parry and Livsic , 41 pages
  (note addition of Appendix D, giving corrections)
  with Scott Schmieding
  (Ergodic Theory and Dynamical Systems 2017)
  
  
• Flow equivalence and isotopy for subshifts , 24 pages,
  with Toke Carlsen and Soren Eilers
  (Dynamical Systems 2017)
  
  
• The almost Borel structure of surface diffeomorphisms, Markov shifts and their factors, 49 pages,
  with Jerome Buzzi
  (Journal of the European Mathematical Society 2017)
  
  
• Strong shift equivalence and the generalized spectral conjecture for nonnegative matrices,
  with Scott Schmieding
  Linear Algebra and Its Applications 2016, Hans Schneider volume,
  paste in DOI number 10.1016/j.laa.2015.06.004 at https://www.doi.org;
  arxiv post including Appendix A with corrections
  
  
• Bowen's entropy-conjugacy conjecture is true up to finite index ,
  with Jerome Buzzi and Kevin McGoff,
  Proceedings AMS 2015
  
  
• Borel isomorphism of SPR Markov shifts ,
  with Jerome Buzzi and Ricardo Gomez,
  Colloq. Math. 2014
  
  
• KIM MEMORIAL VOLUME.
  The following three papers are author versions of papers which appeared in the Kim memorial volume, Acta Applicandae Mathematicae 126 (2013), for which I was the guest editor. There is a Mathnet link and a Springer link for the volume. For each of the three papers, the final publication is available at http://link.springer.com .
  
  • Remembering Ki Hang Kim
    DOI 10.1007/s10440-013-9802-y
  • The work of Kim and Roush in symbolic dynamics
    DOI 10.1007/s10440-013-9806-7
  • Path methods for strong shift equivalence of positive matrices,
    with H.K.Kim and F.W.Roush
    DOI 10.1007/s10440-013-9809-4
  
  
• Daniel J. Rudolph (1949-2010)
  (Notices of the Amer. Math. Soc. 2012)
  
  
• Remembering Dan Rudolph
  with Benjamin Weiss
  (Ergodic Theory and Dynamical Systems 2012)
  
  
• Hidden Markov processes in the context of symbolic dynamics
  with Karl Petersen
  pdf
  in "Entropy of Hiddden Markov Processes
  and Connections to Dynamical Systems",
  London Math. Society Lecture Note Series 2011
  (The preprint retains a useful table of contents which format czars of the publisher removed from the paper.)
  
  
• Multidimensional sofic shifts without separation and their factors
  with Michael Schraudner and Ronnie Pavlov
  pdf
  Transactions of the AMS.
  
  
• Z^d shifts of finite type without equal entropy full shift factors
  with Michael Schraudner
  pdf
  Journal of Difference Equations and Applications;
  special issue on Combinatorial and Topological Dynamics.
  
  
• Open problems in symbolic dynamics
  pdf
  Contemporary Mathematics, volume dedicated to Michael Brin
  (Some of the problems have been SOLVED.)
  
  
• Z^d group shifts and Bernoulli factors
  with Michael Schraudner
  pdf
  Ergodic Theory and Dynamical Systems
  
  
• Jointly periodic points in cellular automata: computer explorations and conjectures,
  including tables of experimental results
  (with then-undergraduate Bryant Lee)
  
  
• Good potentials for almost isomorphism of countable state Markov shifts
  (with Jerome Buzzi and Ricardo Gomez )
  (Stochastics and Dynamics, Vol. 7, No. 1 (2007), 1-15)
  (S&D permits me to email individual copies of the article, but not to post it online. The final version differs significantly from the preprint.)
  
  
• Symbolic extension entropy: C^r examples, products and flows
  with Tomasz Downarowicz
  postscript , pdf
  (Discrete and Continuous Dynamical Systems)
  
  
• Almost isomorphism for countable state Markov shifts
  (with Jerome Buzzi and Ricardo Gomez )
  postscript ; pdf
  (J. reine angew. Math.)
  
  
• Putnam's resolving maps in dimension zero
  Erratum
  postscript ; pdf ; dvi
  (Ergodic Theory and Dynamical Systems)
  
  
• Equivariant flow equivalence for shifts of finite type, by matrix equivalence over group rings
  (with Michael C. Sullivan)
  postscript ; pdf ; dvi
  (Proceedings of the London Math. Soc.)
  
  
• Some sofic shifts cannot commute with nonwandering shifts of finite type
  postscript , pdf , dvi
  (Illinois Journal of Mathematics)
  
  
• Positive Algebraic K-Theory and Shifts of Finite Type
  with Jack Wagoner
  postscript , pdf , dvi
  (Katok Festschrift)
  
  
• The entropy theory of symbolic extensions
  with Tomasz Downarowicz
  postscript , pdf , dvi
  (Inventiones Mathematicae)
  [The copyright holder of this article is Springer-Verlag.]
  
  
• Poset block equivalence of integral matrices
  with Danrun Huang
postscript , pdf , dvi ; addendum
(Transactions AMS)


• Small polynomial matrix presentations of nonnegative matrices
  with Doug Lind
  postscript , pdf
  (Linear Algebra and its Applications)
  
  
• Residual entropy, conditional entropy and subshift covers
  with Doris Fiebig and Ulf Fiebig
  postscript , pdf , dvi
  (Forum Math.)
  
  
• Positive K-theory and symbolic dynamics
  postscript , pdf , dvi
  (Dynamics and Randomness, editors A. Maass, S. Martinez and J. San Martin, Kluwer, pp. 31-52, 2002)
  
  
• Flow equivalence of shifts of finite type via positive factorizations
  postscript , pdf , dvi
  (Pacific J. Math.)
  
  
• Expansive invertible onesided cellular automata
  with A. Maass
  postscript, pdf , dvi
  Corrigendum   postscript, pdf , dvi
  (J. Math. Soc. of Japan)
  [copyright owned by Mathematical Society of Japan]
  
  
• Periodic points for Onto Cellular Automata
  with B. Kitchens
  postscript, pdf , dvi
  (Indagationes Mathematicae)
  
  
• Algebraic aspects of symbolic dynamics
  postscript
  (in "Topics in Symbolic Dynamics and Applications", Cambridge Univ. Press)
  
  
• A dimension group for local homeomorphisms and endomorphisms of onesided shifts of finite type
  with D.Fiebig and U. Fiebig
  postscript
  (J. reine angew. Math.)
  
  
• Bounded topological orbit equivalence and C* Algebras
  with J. Tomiyama
  postscript
  (J. Math. Soc. of Japan)
  [copyright owned by Mathematical Society of Japan]
  
  
• Factoring Factor Maps
  postscript
  (J. London Math. Soc.)
  
  
• Expansive subdynamics
  with D. Lind
  pdf
  (Transactions AMS)
  
  
• Orbit equivalence, flow equivalence and ordered cohomology
  with D. Handelman
  pdf
  (Israel J. Math)
  
  
• Symbolic dynamics and matrices
  pdf
  (from IMA Volumes Math and its Applications, Vol. 50, 1993)
  
  
• Constraints on the degree of a sofic homomorphism and the induced multiplication of measures on unstable sets
  pdf
  (from Israel J. Math, Vol. 53, No.1, 1986)
  
  
• (by request) The topological orbit equivalence chapter of my 1983
  University of Washington PhD thesis, under advisor Douglas Lind
  (with thanks to Steve Hurder's Acrobatics to right the tilts):
  
  oe1c.pdf   oe2c.pdf   oe3c.pdf   oe4c.pdf   oe5c.pdf   oe6c.pdf   oe7c.pdf  
  
  (The other chapters of the thesis became my 1983 ETDS paper "Lower entropy factors of sofic systems", and part of the joint paper "A note on minimal covers for sofic systems", with Bruce Kitchens and Brian Marcus, Proc. AMS 1985.)